TSTP Solution File: PUZ029-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:36:55 EDT 2024

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   73 (  13 unt;   0 def)
%            Number of atoms       :  165 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  167 (  75   ~;  81   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   25 (  24 usr;  12 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( dances_on_tightropes(X)
      | eats_pennybuns(X)
      | old(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] :
      ( ~ pig(X)
      | ~ liable_to_giddiness(X)
      | treated_with_respect(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( ~ wise(X)
      | ~ balloonist(X)
      | has_umbrella(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] :
      ( ~ looks_ridiculous(X)
      | ~ eats_pennybuns(X)
      | ~ eats_lunch_in_public(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X] :
      ( ~ balloonist(X)
      | ~ young(X)
      | liable_to_giddiness(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] :
      ( ~ fat(X)
      | ~ looks_ridiculous(X)
      | dances_on_tightropes(X)
      | eats_lunch_in_public(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] :
      ( ~ liable_to_giddiness(X)
      | ~ wise(X)
      | ~ dances_on_tightropes(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] :
      ( ~ pig(X)
      | ~ has_umbrella(X)
      | looks_ridiculous(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X] :
      ( dances_on_tightropes(X)
      | ~ treated_with_respect(X)
      | fat(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X] :
      ( ~ young(X)
      | ~ old(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    wise(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    young(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    pig(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    balloonist(piggy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,plain,
    ! [X0] :
      ( dances_on_tightropes(X0)
      | eats_pennybuns(X0)
      | old(X0) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ pig(X0)
      | ~ liable_to_giddiness(X0)
      | treated_with_respect(X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ wise(X0)
      | ~ balloonist(X0)
      | has_umbrella(X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ looks_ridiculous(X0)
      | ~ eats_pennybuns(X0)
      | ~ eats_lunch_in_public(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ balloonist(X0)
      | ~ young(X0)
      | liable_to_giddiness(X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ fat(X0)
      | ~ looks_ridiculous(X0)
      | dances_on_tightropes(X0)
      | eats_lunch_in_public(X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ liable_to_giddiness(X0)
      | ~ wise(X0)
      | ~ dances_on_tightropes(X0) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ pig(X0)
      | ~ has_umbrella(X0)
      | looks_ridiculous(X0) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f24,plain,
    ! [X0] :
      ( dances_on_tightropes(X0)
      | ~ treated_with_respect(X0)
      | fat(X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ young(X0)
      | ~ old(X0) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f27,plain,
    wise(piggy),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f28,plain,
    young(piggy),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f29,plain,
    pig(piggy),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f30,plain,
    balloonist(piggy),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f31,plain,
    ( spl0_0
  <=> balloonist(piggy) ),
    introduced(split_symbol_definition) ).

fof(f33,plain,
    ( ~ balloonist(piggy)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f31]) ).

fof(f34,plain,
    ( spl0_1
  <=> liable_to_giddiness(piggy) ),
    introduced(split_symbol_definition) ).

fof(f35,plain,
    ( liable_to_giddiness(piggy)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f34]) ).

fof(f37,plain,
    ( ~ balloonist(piggy)
    | liable_to_giddiness(piggy) ),
    inference(resolution,[status(thm)],[f20,f28]) ).

fof(f38,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f37,f31,f34]) ).

fof(f39,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f33,f30]) ).

fof(f40,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f39]) ).

fof(f47,plain,
    ~ old(piggy),
    inference(resolution,[status(thm)],[f26,f28]) ).

fof(f48,plain,
    ( spl0_3
  <=> dances_on_tightropes(piggy) ),
    introduced(split_symbol_definition) ).

fof(f51,plain,
    ( spl0_4
  <=> eats_pennybuns(piggy) ),
    introduced(split_symbol_definition) ).

fof(f54,plain,
    ( dances_on_tightropes(piggy)
    | eats_pennybuns(piggy) ),
    inference(resolution,[status(thm)],[f16,f47]) ).

fof(f55,plain,
    ( spl0_3
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f54,f48,f51]) ).

fof(f56,plain,
    ( spl0_5
  <=> wise(piggy) ),
    introduced(split_symbol_definition) ).

fof(f58,plain,
    ( ~ wise(piggy)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f56]) ).

fof(f59,plain,
    ( spl0_6
  <=> has_umbrella(piggy) ),
    introduced(split_symbol_definition) ).

fof(f60,plain,
    ( has_umbrella(piggy)
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f59]) ).

fof(f62,plain,
    ( ~ wise(piggy)
    | has_umbrella(piggy) ),
    inference(resolution,[status(thm)],[f18,f30]) ).

fof(f63,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f62,f56,f59]) ).

fof(f64,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f58,f27]) ).

fof(f65,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f64]) ).

fof(f66,plain,
    ( ~ liable_to_giddiness(piggy)
    | ~ dances_on_tightropes(piggy) ),
    inference(resolution,[status(thm)],[f22,f27]) ).

fof(f67,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f66,f34,f48]) ).

fof(f68,plain,
    ( spl0_7
  <=> pig(piggy) ),
    introduced(split_symbol_definition) ).

fof(f70,plain,
    ( ~ pig(piggy)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f68]) ).

fof(f71,plain,
    ( spl0_8
  <=> looks_ridiculous(piggy) ),
    introduced(split_symbol_definition) ).

fof(f74,plain,
    ( ~ pig(piggy)
    | looks_ridiculous(piggy)
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f60,f23]) ).

fof(f75,plain,
    ( ~ spl0_7
    | spl0_8
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f74,f68,f71,f59]) ).

fof(f76,plain,
    ( $false
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f70,f29]) ).

fof(f77,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f76]) ).

fof(f78,plain,
    ( spl0_9
  <=> treated_with_respect(piggy) ),
    introduced(split_symbol_definition) ).

fof(f79,plain,
    ( treated_with_respect(piggy)
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f78]) ).

fof(f81,plain,
    ( ~ pig(piggy)
    | treated_with_respect(piggy)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f35,f17]) ).

fof(f82,plain,
    ( ~ spl0_7
    | spl0_9
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f81,f68,f78,f34]) ).

fof(f83,plain,
    ( spl0_10
  <=> fat(piggy) ),
    introduced(split_symbol_definition) ).

fof(f84,plain,
    ( fat(piggy)
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f83]) ).

fof(f86,plain,
    ( dances_on_tightropes(piggy)
    | fat(piggy)
    | ~ spl0_9 ),
    inference(resolution,[status(thm)],[f79,f24]) ).

fof(f87,plain,
    ( spl0_3
    | spl0_10
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f86,f48,f83,f78]) ).

fof(f88,plain,
    ( spl0_11
  <=> eats_lunch_in_public(piggy) ),
    introduced(split_symbol_definition) ).

fof(f89,plain,
    ( eats_lunch_in_public(piggy)
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f88]) ).

fof(f91,plain,
    ( ~ looks_ridiculous(piggy)
    | dances_on_tightropes(piggy)
    | eats_lunch_in_public(piggy)
    | ~ spl0_10 ),
    inference(resolution,[status(thm)],[f84,f21]) ).

fof(f92,plain,
    ( ~ spl0_8
    | spl0_3
    | spl0_11
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f91,f71,f48,f88,f83]) ).

fof(f93,plain,
    ( ~ looks_ridiculous(piggy)
    | ~ eats_pennybuns(piggy)
    | ~ spl0_11 ),
    inference(resolution,[status(thm)],[f89,f19]) ).

fof(f94,plain,
    ( ~ spl0_8
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f93,f71,f51,f88]) ).

fof(f95,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f38,f40,f55,f63,f65,f67,f75,f77,f82,f87,f92,f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 22:21:55 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.017566 seconds
% 0.13/0.37  % CPU time: 0.039971 seconds
% 0.13/0.37  % Total memory used: 2.278 MB
% 0.13/0.37  % Net memory used: 2.236 MB
%------------------------------------------------------------------------------